TSTP Solution File: LAT266-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LAT266-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:46:31 EDT 2022
% Result : Unsatisfiable 0.46s 0.83s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT266-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 30 02:28:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.46/0.78 ----- Otter 3.2, August 2001 -----
% 0.46/0.78 The process was started by sandbox on n026.cluster.edu,
% 0.46/0.78 Thu Jun 30 02:28:49 2022
% 0.46/0.78 The command was "./sos". The process ID is 1770.
% 0.46/0.78
% 0.46/0.78 set(prolog_style_variables).
% 0.46/0.78 set(auto).
% 0.46/0.78 dependent: set(auto1).
% 0.46/0.78 dependent: set(process_input).
% 0.46/0.78 dependent: clear(print_kept).
% 0.46/0.78 dependent: clear(print_new_demod).
% 0.46/0.78 dependent: clear(print_back_demod).
% 0.46/0.78 dependent: clear(print_back_sub).
% 0.46/0.78 dependent: set(control_memory).
% 0.46/0.78 dependent: assign(max_mem, 12000).
% 0.46/0.78 dependent: assign(pick_given_ratio, 4).
% 0.46/0.78 dependent: assign(stats_level, 1).
% 0.46/0.78 dependent: assign(pick_semantic_ratio, 3).
% 0.46/0.78 dependent: assign(sos_limit, 5000).
% 0.46/0.78 dependent: assign(max_weight, 60).
% 0.46/0.78 clear(print_given).
% 0.46/0.78
% 0.46/0.78 list(usable).
% 0.46/0.78
% 0.46/0.78 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.46/0.78
% 0.46/0.78 This ia a non-Horn set with equality. The strategy will be
% 0.46/0.78 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.46/0.78 unit deletion, with positive clauses in sos and nonpositive
% 0.46/0.78 clauses in usable.
% 0.46/0.78
% 0.46/0.78 dependent: set(knuth_bendix).
% 0.46/0.78 dependent: set(para_from).
% 0.46/0.78 dependent: set(para_into).
% 0.46/0.78 dependent: clear(para_from_right).
% 0.46/0.78 dependent: clear(para_into_right).
% 0.46/0.78 dependent: set(para_from_vars).
% 0.46/0.78 dependent: set(eq_units_both_ways).
% 0.46/0.78 dependent: set(dynamic_demod_all).
% 0.46/0.78 dependent: set(dynamic_demod).
% 0.46/0.78 dependent: set(order_eq).
% 0.46/0.78 dependent: set(back_demod).
% 0.46/0.78 dependent: set(lrpo).
% 0.46/0.78 dependent: set(hyper_res).
% 0.46/0.78 dependent: set(unit_deletion).
% 0.46/0.78 dependent: set(factor).
% 0.46/0.78
% 0.46/0.78 ------------> process usable:
% 0.46/0.78 Following clause subsumed by 13 during input processing: 0 [] {-} c_Datatype_Ooption_OSome(A,B)!=c_Datatype_Ooption_ONone.
% 0.46/0.78 Following clause subsumed by 45 during input processing: 0 [] {-} c_Equiv__Relations_Oquotient(A,B,C)!=c_emptyset|A=c_emptyset.
% 0.46/0.78 Following clause subsumed by 47 during input processing: 0 [] {-} c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft.
% 0.46/0.78 Following clause subsumed by 172 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_IntDef_Oof__int(c_0,A)=c_0.
% 0.46/0.78 Following clause subsumed by 270 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 272 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|B=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 266 during input processing: 0 [] {-} -c_in(A,c_List_Oset(B,tc_List_Olist(C)),tc_List_Olist(C))|c_List_Oconcat(B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 326 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 350 during input processing: 0 [flip.1] {-} c_List_Oremdups(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 274 during input processing: 0 [] {-} c_List_Orev(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 286 during input processing: 0 [flip.1] {-} c_append(B,A,C)!=A|B=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 287 during input processing: 0 [flip.1] {-} c_append(A,B,C)!=A|B=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 361 during input processing: 0 [] {-} c_List_Oset(A,B)!=c_emptyset|A=c_List_Olist_ONil.
% 0.46/0.78 Following clause subsumed by 334 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.46/0.78 Following clause subsumed by 387 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_NatArith_Oof__nat(c_0,A)=c_0.
% 0.46/0.78 Following clause subsumed by 420 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.46/0.79 Following clause subsumed by 420 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.46/0.79 Following clause subsumed by 420 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.46/0.79 Following clause subsumed by 411 during input processing: 0 [] {-} c_Numeral_Onumber__of(A,tc_nat)!=c_0|c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).
% 0.46/0.79 Following clause subsumed by 413 during input processing: 0 [] {-} -c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.46/0.79 Following clause subsumed by 415 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.46/0.79 Following clause subsumed by 447 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)=c_0|c_times(c_divide(C,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=C.
% 0.46/0.79 Following clause subsumed by 448 during input processing: 0 [flip.5] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)!=c_0|c_divide(C,c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.46/0.79 Following clause subsumed by 449 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_Numeral_Onumber__of(C,A),A),c_Numeral_Onumber__of(C,A),A)=B|c_Numeral_Onumber__of(C,A)=c_0.
% 0.46/0.79 Following clause subsumed by 450 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.46/0.79 Following clause subsumed by 489 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_uminus(c_Numeral_Onumber__of(B,A),A),A)=c_Numeral_Onumber__of(B,A).
% 0.46/0.79 Following clause subsumed by 578 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_0.
% 0.46/0.79 Following clause subsumed by 662 during input processing: 0 [] {-} c_Numeral_Obit_OB1!=c_Numeral_Obit_OB0.
% 0.46/0.79 Following clause subsumed by 674 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(B,A)!=c_0|B=c_0.
% 0.46/0.79 Following clause subsumed by 676 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(c_0,A)=c_0.
% 0.46/0.79 Following clause subsumed by 725 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_0,A)=c_0.
% 0.46/0.79 Following clause subsumed by 155 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.46/0.79 Following clause subsumed by 876 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_0,A)=c_0.
% 0.46/0.79 Following clause subsumed by 878 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,c_0,A)!=c_1.
% 0.46/0.79 Following clause subsumed by 879 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,C,A)!=c_1|C=B.
% 0.46/0.79 Following clause subsumed by 880 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|B=c_0|c_divide(B,B,A)=c_1.
% 0.46/0.79 Following clause subsumed by 939 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=B|B=c_0|C=c_1.
% 0.46/0.80 Following clause subsumed by 945 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=C|C=c_0|B=c_1.
% 0.46/0.80 Following clause subsumed by 875 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(c_0,B,A),A)=c_0.
% 0.46/0.80 Following clause subsumed by 876 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,B,A),c_0,A)=c_0.
% 0.46/0.80 Following clause subsumed by 875 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(B,c_0,A),A)=c_0.
% 0.46/0.80 Following clause subsumed by 876 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_0,A),c_0,A)=c_0.
% 0.46/0.80 Following clause subsumed by 877 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(B,C,A)!=c_1|B=C.
% 0.46/0.80 Following clause subsumed by 155 during input processing: 0 [] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.46/0.80 Following clause subsumed by 967 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,B,A)!=c_0|B=c_0.
% 0.46/0.80 Following clause subsumed by 968 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,c_0,A)=c_0.
% 0.46/0.80 Following clause subsumed by 1046 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Inter(B,C)!=c_UNIV|A=c_UNIV.
% 0.46/0.80 Following clause subsumed by 1069 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(B,c_insert(A,D,C),C)!=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1070 during input processing: 0 [flip.1,flip.2] {-} c_inter(A,c_insert(B,C,D),D)!=c_emptyset|c_inter(A,C,D)=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1071 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,A,C)|c_inter(A,c_insert(D,B,C),C)=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1064 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Union(B,C)!=c_emptyset|A=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1078 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(c_insert(A,D,C),B,C)!=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1079 during input processing: 0 [flip.1,flip.2] {-} c_inter(c_insert(A,B,C),D,C)!=c_emptyset|c_inter(B,D,C)=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1080 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,B,C)|c_inter(c_insert(D,A,C),B,C)=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1076 during input processing: 0 [] {-} c_insert(A,B,C)!=c_emptyset.
% 0.46/0.80 Following clause subsumed by 1090 during input processing: 0 [] {-} c_insert(A,c_emptyset,B)!=c_insert(C,c_emptyset,B)|A=C.
% 0.46/0.80 Following clause subsumed by 27 during input processing: 0 [copy,16,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OAtom(E,C,D).
% 0.46/0.80 Following clause subsumed by 20 during input processing: 0 [copy,18,flip.1] {-} c_Datatype__Universe_OIn1(A,B,C)!=c_Datatype__Universe_OIn0(D,B,C).
% 0.46/0.80 Following clause subsumed by 18 during input processing: 0 [copy,20,flip.1] {-} c_Datatype__Universe_OIn0(A,B,C)!=c_Datatype__Universe_OIn1(D,B,C).
% 0.46/0.80 Following clause subsumed by 23 during input processing: 0 [copy,21,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OLeaf(D,B,C).
% 0.46/0.80 Following clause subsumed by 28 during input processing: 0 [copy,22,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OLeaf(E,C,D).
% 0.46/0.80 Following clause subsumed by 21 during input processing: 0 [copy,23,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_ONumb(D,B,C).
% 0.46/0.80 Following clause subsumed by 29 during input processing: 0 [copy,24,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_ONumb(E,C,D).
% 0.46/0.83 Following clause subsumed by 16 during input processing: 0 [copy,27,flip.1] {-} c_Datatype__Universe_OAtom(A,B,C)!=c
% 0.46/0.83 -------- PROOF --------
% 0.46/0.83 % SZS status Unsatisfiable
% 0.46/0.83 % SZS output start Refutation
% 0.46/0.83 _Datatype__Universe_OScons(D,E,B,C).
% 0.46/0.83 Following clause subsumed by 22 during input processing: 0 [copy,28,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.46/0.83 Following clause subsumed by 24 during input processing: 0 [copy,29,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.46/0.83 160 back subsumes 131.
% 0.46/0.83 620 back subsumes 619.
% 0.46/0.83 719 back subsumes 489.
% 0.46/0.83 719 back subsumes 486.
% 0.46/0.83 841 back subsumes 810.
% 0.46/0.83 842 back subsumes 811.
% 0.46/0.83 843 back subsumes 812.
% 0.46/0.83 847 back subsumes 441.
% 0.46/0.83 955 back subsumes 449.
% 0.46/0.83 974 back subsumes 447.
% 0.46/0.83 Following clause subsumed by 1097 during input processing: 0 [copy,1095,flip.1] {-} c_Sum__Type_OInr(A,B,C)!=c_Sum__Type_OInl(D,C,B).
% 0.46/0.83 Following clause subsumed by 1095 during input processing: 0 [copy,1097,flip.1] {-} c_Sum__Type_OInl(A,B,C)!=c_Sum__Type_OInr(D,C,B).
% 0.46/0.83
% 0.46/0.83 ------------> process sos:
% 0.46/0.83 Following clause subsumed by 2491 during input processing: 0 [demod,2718] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.46/0.83 Following clause subsumed by 2491 during input processing: 0 [demod,2486] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2495] {-} A=A.
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2756] {-} c_emptyset=c_emptyset.
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2730,2545] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2837,2330] {-} c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat).
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2857] {-} c_0=c_0.
% 0.46/0.83 Following clause subsumed by 2871 during input processing: 0 [] {-} c_less(c_0,c_1,tc_nat).
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2887,2887] {-} c_0=c_0.
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2391,2853,2893] {-} c_1=c_1.
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,2918,2924] {-} c_Numeral_OMin=c_Numeral_OMin.
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [demod,3125] {-} c_emptyset=c_emptyset.
% 0.46/0.83 Following clause subsumed by 3158 during input processing: 0 [] {-} c_in(A,c_insert(A,c_emptyset,B),B).
% 0.46/0.83 Following clause subsumed by 2749 during input processing: 0 [] {-} A=A.
% 0.46/0.83
% 0.46/0.83 ----> UNIT CONFLICT at 0.19 sec ----> 3356 [binary,3355.1,3353.1] {-} $F.
% 0.46/0.83
% 0.46/0.83 Length of proof is 3. Level of proof is 2.
% 0.46/0.83
% 0.46/0.83 ---------------- PROOF ----------------
% 0.46/0.83 % SZS status Unsatisfiable
% 0.46/0.83 % SZS output start Refutation
% 0.46/0.83
% 0.46/0.83 2125 [] {-} -c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)).
% 0.46/0.83 2228 [] {-} v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit).
% 0.46/0.83 2230,2229 [copy,2228,flip.1] {-} c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 0.46/0.83 2238,2237 [] {-} c_Tarski_Opotype_Opset(c_Tarski_Odual(A,B),B,tc_Product__Type_Ounit)=c_Tarski_Opotype_Opset(A,B,tc_Product__Type_Ounit).
% 0.46/0.83 3352 [] {-} c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)).
% 0.46/0.83 3353 [copy,3352,demod,2230] {-} c_lessequals(v_S,v_A,tc_set(t_a)).
% 0.46/0.83 3355 [back_demod,2125,demod,2238,2230] {-} -c_lessequals(v_S,v_A,tc_set(t_a)).
% 0.46/0.83 3356 [binary,3355.1,3353.1] {-} $F.
% 0.46/0.83
% 0.46/0.83 % SZS output end Refutation
% 0.46/0.83 ------------ end of proof -------------
% 0.46/0.83
% 0.46/0.83
% 0.46/0.83 Search stopped by max_proofs option.
% 0.46/0.83
% 0.46/0.83
% 0.46/0.83 Search stopped by max_proofs option.
% 0.46/0.83
% 0.46/0.83 ============ end of search ============
% 0.46/0.83
% 0.46/0.83 That finishes the proof of the theorem.
% 0.46/0.83
% 0.46/0.83 Process 1770 finished Thu Jun 30 02:28:49 2022
%------------------------------------------------------------------------------